Question

Find a quadratic polynomial whose zeros are -2 and 1/3

Answer 1

Answer:

the answer is f(x) = 3x² + 5x - 2 = 0

Step-by-step explanation:

we have the zeros of the quadratic polynomial are -2 and 1/3

so the quadratic polynomial will be created =

f(x) = x² - (- 2 + 1/3)x + (-2 × 1/3) = 0

so, x² - (-6 +1)x /3 -2/3 = 0

or, x² + 5x/3 - 2/3 = 0

or, (3x² + 5x - 2)/3 = 0

or, 3x² + 5x -2 = 0

so the quadratic polynomial is

f(x) = 3x² + 5x - 2

see this answer hope it will help you